If \( a^{2} b^{2}+49=14 a b \), prove that \( : a \propto \frac{1}{b} \)

b. read none of magazine at all c. read exactly one of the magazines. 3. Use Mathematical induction to prove that \( x^{n}+y^{n} \) is divisible by \( x+y \) for odd natural number \( n \geq 1 \). 4. Solve the equation \( z^{6}+1=\sqrt{3} i \) where \( z \in c \).

1. Resolver la ecuación: \( \left|\frac{1}{\log _{x}(a)}\right|^{\log _{a}(x)}=b^{2 b} \) \begin{tabular}{lllll|} a) \( a^{b} \) & b) \( b^{a} \) & c) \( a \) & d) \( b \) & e) \( -a^{b} \)\end{tabular}

1.) Resolver la ecuación: \( \left|\frac{1}{\log _{x}(a)}\right|^{\log _{h}(x)}=b^{2 b} \)

2. Find the value of \( x \) if \( 9^{x+1}=27 \)

av \( x>0, A=\sqrt{25 x^{2}}-\sqrt{4 x^{2}}-x \)